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Best approximation by polynomials
Published online by Cambridge University Press: 17 April 2009
Abstract
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In this paper we show that if E is a separable Banach space, F is a reflexive Banach space, and n, k ∈ ℕ, then every continuous polynomial of degree n from E into F has at least one element of best approximation in the Banach subspace of all continuous k–homogeneous polynomials from E into F.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 68 , Issue 2 , October 2003 , pp. 267 - 273
- Copyright
- Copyright © Australian Mathematical Society 2003
References
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